1. It is proved that the difference of displacement is equal to a constant in a continuous and equal period of time in a uniform linear motion 2. It is proved that the instantaneous velocity in the middle of a period of time is equal to the average velocity in this period of time 3. The displacement of a particle moving in a uniform straight line is 24m and 64M respectively in two continuous equal time intervals, and each time interval is 4S. Calculate the initial velocity and acceleration of the particle. (solve by more than two methods)

1. It is proved that the difference of displacement is equal to a constant in a continuous and equal period of time in a uniform linear motion 2. It is proved that the instantaneous velocity in the middle of a period of time is equal to the average velocity in this period of time 3. The displacement of a particle moving in a uniform straight line is 24m and 64M respectively in two continuous equal time intervals, and each time interval is 4S. Calculate the initial velocity and acceleration of the particle. (solve by more than two methods)

1. Let the equal time be t, when t = 0, the initial velocity is VO, then the displacement of the first period is VO + at ^ 2 / 2; the initial velocity of the second period is VO + at, and the displacement is (VO + at) t + at ^ 2 / 2. The two displacements are subtracted to get at ^ 2. When a and T are fixed, the displacement difference is fixed. 2